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Finding the Fourth Proportional to 3,466.35, 5,198.34 and 1,000.53

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Solution

The fourth proportional to 3,466.35, 5,198.34 and 1,000.53 is: 1,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.35 : 5,198.34 = 1,000.53 : x
  2. Step 2: Convert to fraction form
    3,466.35/5,198.34 = 1,000.53/x
  3. Step 3: Cross multiply
    3,466.35x = 5,198.34 × 1,000.53
  4. Step 4: Simplify right side
    3,466.35x = 5,201,095.12
  5. Step 5: Solve for x
    x = 5,201,095.12/3,466.35
  6. Step 6: Final answer
    x = 1,500.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.